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Physics · PYQ NEET UG 2019(2)

हिन्दी

A truck is stationary and has a bob suspended by a light string, in a frame attached to the truck. The truck suddenly moves to the right with an acceleration of \( a \). The pendulum will tilt

  1. to the left and angle of inclination of the pendulum with the vertical is \( \tan^{-1}(\frac{g}{a}) \)
  2. to the left and angle of inclination of the pendulum with the vertical is \( \sin^{-1}(\frac{g}{a}) \)
  3. to the left and angle of inclination of the pendulum with the vertical is \( \tan^{-1}(\frac{a}{g}) \)
  4. to the left and angle of inclination of the pendulum with the vertical is \( \sin^{-1}(\frac{a}{g}) \)

Correct answer · Option 3

to the left and angle of inclination of the pendulum with the vertical is \( \tan^{-1}(\frac{a}{g}) \)

Explanation

Due to pseudo force \( ma \) acting to the left, the pendulum tilts to the left. The angle \( \theta \) with vertical satisfies \( \tan\theta = \frac{ma}{mg} = \frac{a}{g} \implies \theta = \tan^{-1}(\frac{a}{g}) \).
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